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1) Graphically. Draw an arrow for the force, and measure the vertical and horizontal components.
2) Use trigonometry. The x-component is the length of the vector times the cosine of the angle, while the y-component is the length of the vector times the sine of the angle.
3) Use the polar-to-rectangular conversion on your scientific calculator. This is the fastest method, but the details are a bit complicated (since the calculator needs to return two values), and vary from one calculator to another. Check your calculator's manual.
What else can I help you with?
What is equal to force perpendicular?
Force perpendicular is equal to the force component that acts perpendicular to a surface or object. It is calculated by multiplying the force magnitude by the sine of the angle between the force vector and the direction perpendicular to the object.
Can a force at any angle perform work?
Yes, a force applied at any angle can perform work as long as there is a component of the force in the same direction as the displacement of the object it is acting upon. Work is the product of force and displacement in the direction of the force.
When you apply force at an angle to the direction of movement force does what?
When you apply force at an angle to the direction of movement, the force gets divided into two components: one perpendicular to the direction of movement and the other parallel to the direction of movement. The component parallel to the direction of movement affects the acceleration of the object, while the component perpendicular to the direction of movement does not contribute to the acceleration in that direction.
Why do nonperpendicular vectors need to be resolved into components before you can add the vectors together?
When vectors are not perpendicular, their components in a given direction are not simply the scalar values of the original vectors. Resolving nonperpendicular vectors into components along mutually perpendicular axes (commonly x and y axes) allows you to add the components of each individual vector separately to obtain the resulting vector accurately using vector addition rules. This process is necessary to ensure that the direction and magnitude of the resulting vector are correctly calculated.
What is the perpendicular force exerted by a surface pressing against an object called?
The perpendicular force exerted by a surface pressing against an object is called normal force. This force is perpendicular to the surface and acts in the opposite direction to the force applied by the object.
How can a force be resolved into rectangular components?
lved in its rectangular components
Into how many components can a single force be resolved?
An unlimited amount
Why do non-perpendicular vectors need to be resolved into components before you can add the vectors together?
Nonperpendicular vectors need to be resolved into components because the Pythagorean theorem and the tangent function can be applied only to right triangles.
Can stress be resolved into horizontal and vertical components?
Force can be resolved into horizontal and vertical components using vector analysis. However stress cannot be resolved into horizontal and vertical components using vector analysis since it is not a vector but a tensor of second order.
What is the purpose of vector resolution in adding vectors?
Vector addition does not follow the familiar rules of addition as applied to addition of numbers. However, if vectors are resolved into their components, the rules of addition do apply for these components. There is a further advantage when vectors are resolved along orthogonal (mutually perpendicular) directions. A vector has no effect in a direction perpendicular to its own direction.
What is equal to force perpendicular?
Force perpendicular is equal to the force component that acts perpendicular to a surface or object. It is calculated by multiplying the force magnitude by the sine of the angle between the force vector and the direction perpendicular to the object.
Can a force at any angle perform work?
Yes, a force applied at any angle can perform work as long as there is a component of the force in the same direction as the displacement of the object it is acting upon. Work is the product of force and displacement in the direction of the force.
How many possible components can a single vector be resolved?
A vector can be resolved into infinitely many sets of components in both 2D and 3D space.
When you apply force at an angle to the direction of movement force does what?
When you apply force at an angle to the direction of movement, the force gets divided into two components: one perpendicular to the direction of movement and the other parallel to the direction of movement. The component parallel to the direction of movement affects the acceleration of the object, while the component perpendicular to the direction of movement does not contribute to the acceleration in that direction.
Why do nonperpendicular vectors need to be resolved into components before you can add the vectors together?
When vectors are not perpendicular, their components in a given direction are not simply the scalar values of the original vectors. Resolving nonperpendicular vectors into components along mutually perpendicular axes (commonly x and y axes) allows you to add the components of each individual vector separately to obtain the resulting vector accurately using vector addition rules. This process is necessary to ensure that the direction and magnitude of the resulting vector are correctly calculated.
What is the perpendicular force exerted by a surface pressing against an object called?
The perpendicular force exerted by a surface pressing against an object is called normal force. This force is perpendicular to the surface and acts in the opposite direction to the force applied by the object.
What is the definition of a normal force?
The normal force is the perpendicular force exerted by a surface to support an object in contact with it. It acts in the direction perpendicular to the surface.
